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Finding the Fourth Proportional to 5,475.07, 7,543.15 and 5,105.71

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Solution

The fourth proportional to 5,475.07, 7,543.15 and 5,105.71 is: 7,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.07 : 7,543.15 = 5,105.71 : x
  2. Step 2: Convert to fraction form
    5,475.07/7,543.15 = 5,105.71/x
  3. Step 3: Cross multiply
    5,475.07x = 7,543.15 × 5,105.71
  4. Step 4: Simplify right side
    5,475.07x = 38,513,136.39
  5. Step 5: Solve for x
    x = 38,513,136.39/5,475.07
  6. Step 6: Final answer
    x = 7,034.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.